The 1-loop effective potential for the Standard Model in curved spacetime

Markkanen, Tommi; Nurmi, Sami; Rajantie, Arttu; Stopyra, Stephen

doi:10.1007/jhep06(2018)040

Cited by 78 publications

(117 citation statements)

References 104 publications

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“…In the one-loop approximation the result for the quantum corrected or effective potential for the Yukawa model has the form (see, for example, Ref. [23]) V eff (ϕ) = λ(µ) 4 ϕ 4 (µ)…”

Section: Example: Yukawa Theorymentioning

confidence: 99%

Cosmological Aspects of Higgs Vacuum Metastability

Markkanen

Rajantie

Stopyra

2018

Front. Astron. Space Sci.

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116

126

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The current central experimental values of the parameters of the Standard Model give rise to a striking conclusion: metastability of the electroweak vacuum is favoured over absolute stability. A metastable vacuum for the Higgs boson implies that it is possible, and in fact inevitable, that a vacuum decay takes place with catastrophic consequences for the Universe. The metastability of the Higgs vacuum is especially significant for cosmology, because there are many mechanisms that could have triggered the decay of the electroweak vacuum in the early Universe. We present a comprehensive review of the implications from Higgs vacuum metastability for cosmology along with a pedagogical discussion of the related theoretical topics, including renormalization group improvement, quantum field theory in curved spacetime and vacuum decay in field theory. arXiv:1809.06923v2 [astro-ph.CO]

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“…In the one-loop approximation the result for the quantum corrected or effective potential for the Yukawa model has the form (see, for example, Ref. [23]) V eff (ϕ) = λ(µ) 4 ϕ 4 (µ)…”

Section: Example: Yukawa Theorymentioning

confidence: 99%

Cosmological Aspects of Higgs Vacuum Metastability

Markkanen

Rajantie

Stopyra

2018

Front. Astron. Space Sci.

Self Cite

116

126

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“…More recent work [17][18][19] has studied the role of the effective potential in a sector of the standard model.…”

Section: Jhep05(2018)139mentioning

confidence: 99%

“…It can be evaluated in a number of ways. If we use the heat kernel method as in [6, section 5.9] then 19) where E 2 (x) is the heat kernel coefficient for the Dirac operator chosen in (6.11). The necessary expression for E 2 was given in (3.2) and (3.3) with W µν and Q given in (3.11) and (3.12).…”

Section: Jhep05(2018)139mentioning

confidence: 99%

“…It would be possible to evaluate the renormalization group improved terms in the effective action as was done in flat spacetime [51] and for the Yukawa model in curved spacetime [12]. The renormalization group improved effective potential in curved spacetime has been given recently [19]. There would be no essential impediment to proceeding to two-loop order using the local momentum space method.…”

Section: Jhep05(2018)139 7 Conclusionmentioning

confidence: 99%

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Effective action for the Yukawa model in curved spacetime

Toms

2018

J. High Energ. Phys.

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Abstract:We consider the one-loop renormalization of a real scalar field interacting with a Dirac spinor field in curved spacetime. A general Yukawa interaction is considered which includes both a scalar and a pseudoscalar coupling. The scalar field is assumed to be non-minimally coupled to the gravitational field and to have a general quartic selfinteraction potential. All of the one-loop renormalization group functions are evaluated and in the special case where there is no mass scale present in the classical theory (apart from the fields) we evaluate the one-loop effective action up to and including order R 2 in the curvature. In the case where the fermion is massive we include a pseudoscalar mass term in γ 5 and we show that although the γ 5 term can be removed by a redefinition of the spinor field an anomaly in the effective action arises that is related to the familiar axial current anomaly.

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“…The optimal choice for the renormalization scale has been chosen to take into account the (quasi) de Sitter background, i.e. to keep higher-order terms under control we use µ 2 h 2 +12H 2 [41], where sub-leading slow-roll corrections are neglected, although it has been shown that considering other linear combinations such as µ 2 = αh 2 + βH 2 has negligible impact [33]. We consider generic values of the non-minimal coupling as ξ = 0 is not a fixed point of the renormalization group flow, i.e.…”

Section: Classical Dynamics and Effect Of Derivative Operatorsmentioning

confidence: 99%

Higgs vacuum (in)stability during inflation. The dangerous relevance of de Sitter departure and Planck-suppressed operators

Fumagalli

Renaux‐Petel

Ronayne

2020

J. High Energ. Phys.

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The measured Standard Model parameters lie in a range such that the Higgs potential, once extrapolated up to high scales, develops a minimum of negative energy density. This has important cosmological implications. In particular, during inflation, quantum fluctuations could have pushed the Higgs field beyond its potential barrier, triggering the formation of anti-de Sitter regions, with fatal consequences for our universe. By requiring that this did not happen, one can in principle connect (and constrain) Standard Model parameters with the energy scale of inflation. In this context, we highlight the sensitivity of the fate of our vacuum to seemingly irrelevant physics. In particular, the departure of inflation from an exact de Sitter phase, as well as Planck-suppressed derivative operators, can, already and surprisingly, play a decisive role in (de)stabilizing the Higgs during inflation. Furthermore, in the stochastic dynamics, we quantify the impact of the amplitude of the noise differing from the one of a massless field, as well as of going beyond the slow-roll approximation by using a phase-space approach. On a general ground, our analysis shows that relating the period of inflation to precision particle physics requires a knowledge of these "irrelevant" effects.

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The 1-loop effective potential for the Standard Model in curved spacetime

Cited by 78 publications

References 104 publications

Cosmological Aspects of Higgs Vacuum Metastability

Cosmological Aspects of Higgs Vacuum Metastability

Effective action for the Yukawa model in curved spacetime

Higgs vacuum (in)stability during inflation. The dangerous relevance of de Sitter departure and Planck-suppressed operators

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